Whatever NM my cadence sensored 720W BBS01B exerts on the road via my 20" rear wheel, I reckon power isn't a million Watts away from
@saneagle's 48V X 22A = 1050W hub motor via his larger rear wheel.
Untrue! I can climb hills faster to escape your unhinged mates!
Unfortunately, you have that incorrect. You need power to climb fast. Power = torque x speed, so if you use a crank-drive and small wheels, your torque goes up, but your speed goes down.
Let's say, you have your 36v motor's controller set to the default 15 amps. That's 540w from your battery that will be converted to about 378w of climbing power at the back wheel.
My hub-motor running at 48v and 22A takes 1056w from the battery to give about 740w at the back wheel, so my bike will climb twice as fast as yours. If you put the two bikes side by side in a race up any normal steep hill, you'll see the difference instantly. While you're trying to shift from first to second gear, my bike will be gone. Yours would be an embarrassment, by comparison.
When we had the World Championship hill climb in Bristol, you could see the difference. Most of the bikes had 36v and 15 amps, so it was Oxygens and Battribykes against Bosch. The hub-motor bikes immediately got a 10 meter lead, which the Bosch bikes gradually clawed back on the steepest part of the hill, but they never caught up enough to win. IIRC, it was won in 2013 by a guy with a 48v Brompton conversion (hub-motor) because his 48v gave him a 30% advantage. The guys on the Bosch bikes were semi pros, while as the guy, who won against them in 2014 on the Oxygen was the warehouse assistant, who was dragged to the event to help unload the bikes from the van and setup the stand.
You can see the race and the hill here. Actually Andre Lozinski won it in 2012 on an Oxygen Emate, so that was two years in succession that Oxygen won. The crank-drive bikes were nowhere.
www.pedelecs.co.uk